Mr. Sharrone can paper a room in 3 hours. His assistant needs 5 hours. If Mr. Sharrone works 1 hour and then his assistant completes the job alone

Question

I need to find the assistants hours and minutes of how long it takes him to finish the job

work plz to be shown

Answer 1

Hi Nejia, work problems are solved by finding out how much work each party does in one hour. Here, Mr. Sharrone does 1/3rd of the work in one hour. His assistant does 1/5th of the work in one hour.

 

If Mr. Sharrone works alone for one hour, he completes 1/3rd of the work, leaving 2/3rds to be completed.

 

His assistant will have to complete the remaining work. We are looking for the time it will take him to complete the work, or t.

 

Then:

 

1/5 * t = 2/3 ( the remaining work to complete)

 

Solve for t:

 

Cross-multiply gives:

 

3t = 10

 

t = 3 and 1/3 hours.

 

Mr. Sharrone's assistant will need an additional 3 and 1/3 hours to complete the work.

 

Questions?